Geometric regularity versus analytic regularity higher codimensional case
Geometric regularity versus functional regularity
Geometric stability of the cotangent bundle and the universal cover of a projective manifold
We first prove a strengthening of Miyaoka’s generic semi-positivity theorem: the quotients of the tensor powers of the cotangent bundle of a non-uniruled complex projective manifold have a pseudo-effective (instead of generically nef) determinant. A first consequence is that is of general type if its cotangent bundle contains a subsheaf with ‘big’ determinant. Among other applications, we deduce that if the universal cover of is not covered by compact positive-dimensional analytic subsets,...
Geometric structures on the complement of a projective arrangement
Consider a complex projective space with its Fubini-Study metric. We study certain one parameter deformations of this metric on the complement of an arrangement (= finite union of hyperplanes) whose Levi-Civita connection is of Dunkl type. Interesting examples are obtained from the arrangements defined by finite complex reflection groups. We determine a parameter interval for which the metric is locally of Fubini-Study type, flat, or complex-hyperbolic. We find a finite subset of this interval for...
Geometrical properties of a family of compactifications.
Géométrie analytique rigide d'après Tate, Kiehl...
Géométrie rigide et cohomologie des variétés algébriques de caractéristique p
Geometrische Bedingungen für die Integrabilität von Vektor-Feldern auf Teilmengen.
Geometry and analytic theory of Frobenius manifolds.
Geometry and cohomology of certain domains in the complex projective space.
Geometry and function algebra on pseudo-flat manifolds
Geometry of biinvariant subsets of complex semisimple Lie groups
Geometry of currents, intersection theory and dynamics of horizontal-like maps
We introduce a geometry on the cone of positive closed currents of bidegree and apply it to define the intersection of such currents. We also construct and study the Green currents and the equilibrium measure for horizontal-like mappings. The Green currents satisfy some extremality properties. The equilibrium measure is invariant, mixing and has maximal entropy. It is equal to the intersection of the Green currents associated to the horizontal-like map and to its inverse.
Geometry of hypersurfaces and mapping theorems in Cn.
Geometry of Kähler metrics and foliations by holomorphic discs
Geometry of nuclear spaces. II - Linear topological invariants
Geometry of nuclear spaces. III - Spaces of holomorphic functions
Geometry of some twistor spaces of algebraic dimension one
It is shown that there exists a twistor space on the n-fold connected sum of complex projective planes nCP2, whose algebraic dimension is one and whose general fiber of the algebraic reduction is birational to an elliptic ruled surface or a K3 surface. The former kind of twistor spaces are constructed over nCP2 for any n ≥ 5, while the latter kind of example is constructed over 5CP2. Both of these seem to be the first such example on nCP2. The algebraic reduction in these examples is induced by...
Geometry of symmetrized ellipsoids.
Geometry of the Complex Homogeneous Monge-Ampère Equation.